Transformatorji

Y: Umf=3⋅Uf, Il=If
Δ: Umf=Uf, Il=3⋅If

E=4.44NfAΦ
I1=S3⋅U1y
P=3⋅UIcos⁡(φ)

η=P2P1=P1−PizgP1
ξ=PcuPfe
Θ=Θmax(1−e−t/τ)
Θmax′Θmax=Pizg′Pizg
Pfe′Pfe=f′f(B′B)2
Pcu′Pcu=(I′I)2

uk%=U1,kU1,n
UR=Ukcos⁡(φk)
ur%=URU1,n=uk⋅cos⁡(φk)
Ux=Uksin⁡(φk)=UK1−cos⁡(φk)2
ux%=uk%2−uR%2
U

Sb=S1+S2=Sn,1⋅b1+Sn,2⋅b2
b=SSn
b1b2=uk,2uk,1

Sinhronski stroji

S=m⋅U⋅I
P=m⋅U2⋅I2⋅cos⁡(φ2)
E0=(U2+I2Xssin⁡(φ2))2+(I2Xscos⁡(φ2))2
E0,r=(1+Xsrsin⁡(φ2))2+(Xsrcos⁡(φ2))2
tan⁡(δ)=I2Xs⋅cos⁡φ2U2+I2Xs⋅sin⁡φ2
tan⁡(δ)=Xsr⋅cos⁡φ21+Xsr⋅sin⁡φ2
P=mEUXsrsin⁡(δ)
I1=S3⋅U
I1′I1=E0′E0
I⋅cos⁡(φ2)=EXsrsin⁡(δ)
P2S2,n=U2,r⋅E0,rXsrsin⁡(δ)
n=f⋅60pp
M=Pω=P⋅602πn
M=ms2πnnUs2(Rs+RRs)2+(Xδ,s+Xδ,R)2RRs
Mzag=ms2πnnUs2(Rs+RR)2+(Xδ,s+Xδ,R)2RR
Mzag′Mzag,n=(UUn)2 ; Mom′Mom,n=(UUn)2

Asinhronski stroji

s=ns−nrns
som=±Rr′Rs2+(Xσ,s+Xσ,r′)2
fr=fs⋅s
Sn=3UnIn
Pn=3UnIncos⁡(φ)
Pr=Mω=M2πnn60
Pr=Rr′s⋅I2
M=ms2πnsUs2(Rs+Rr′s)2+(Xδs+Xδr′)2Rr′s
n=n′ ; Rr=konst.⇒M′M=(Us′Us)2
Mzag=ms2πnsU2Rr′(Rs+Rr′)2+(Xσ,s+Xσ,r2) ,(s=1)

Mot (+), Gen(−): Mom=±ms2πnsUs22(Rs2+(Xσ,s+Xσ,r)2+Rs)
MnMom=2snsom+somsn
MbMn=sbsn=I2,bI2,n

Pel=Pcu,s+Pfe,s+Pvp
Pvp=Pcu,r+Pvrt,rot+Pmeh
Pmeh=Pvp (1−sb)
cos⁡(φ0)=P0S0=P0U0I0
η=PmehPel
Ir=Us(Rs+Rr′s)2+(Xσ,s+Xσ,r′)2
Ustoji
R2=sE203I2

Komutatorju

Generator: U=E−Is⋅Rs−ΔUšč
Motor: U=E+Is⋅Rs+ΔUšč
n′n=E′E

Tuje vzbujani

Vzporedno vzbujani

IM=Ii+Iv=PGU
Iv=URv
IG=Ii−Iv
IM=PM,elU
IM=PM,mehU⋅η

Zaporedno vzbujani